Search a number
-
+
12300223300032 = 263557115015553
BaseRepresentation
bin1011001011111101111001…
…1100001100000111000000
31121112220000201011221121010
42302333132130030013000
53103011324131100112
642054351121200520
72406442666654353
oct262773634140700
947486021157533
1012300223300032
113a1254a428788
121467a47a90140
136b2ba1872c95
1430749664a29a
15164e54edc63c
hexb2fde70c1c0

12300223300032 has 56 divisors (see below), whose sum is σ = 32602768999056. Its totient is φ = 4092713402368.

The previous prime is 12300223300007. The next prime is 12300223300103. The reversal of 12300223300032 is 23000332200321.

12300223300032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12300223299981 and 12300223300008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57400833 + ... + 57614720.

Almost surely, 212300223300032 is an apocalyptic number.

12300223300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300223300032 is an abundant number, since it is smaller than the sum of its proper divisors (20302545699024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12300223300032 is a wasteful number, since it uses less digits than its factorization.

12300223300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115016125 (or 115016115 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12300223300032 its reverse (23000332200321), we get a palindrome (35300555500353).

The spelling of 12300223300032 in words is "twelve trillion, three hundred billion, two hundred twenty-three million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 26736 35648 53472 106944 115015553 230031106 345046659 460062212 690093318 920124424 1380186636 1840248848 2760373272 3680497696 5520746544 7360995392 11041493088 22082986176 64063663021 128127326042 192190989063 256254652084 384381978126 512509304168 768763956252 1025018608336 1537527912504 2050037216672 3075055825008 4100074433344 6150111650016 12300223300032